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For a real number 'a', if a real valued function $f(x) = 4x^3 + ax^2 + 3x - 2$ is monotonic in its domain, then the range of 'a' is

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A cubic function is monotonic over its entire domain if its derivative (a quadratic function) has a discriminant $\Delta \leq 0$. This ensures the derivative never crosses the x-axis, so it doesn't change sign.

Updated On: Mar 30, 2026

(-6,6)
Empty set
(-2,2)
(2,4)

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The Correct Option is A

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For a real number 'a', if a real valued function $f(x) = 4x^3 + ax^2 + 3x - 2$ is monotonic in its domain, then the range of 'a' is

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The Correct Option is A

Solution and Explanation

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